Finite-time H∞ control for linear systems with semi-Markovian switching

被引：0
|
作者：
Liu, Xinghua [1 ,2 ]
Yu, Xinghuo [3 ]
Zhou, Xiaojun [4 ]
Xi, Hongsheng [1 ]
机构：
[1] Univ Sci & Technol China, Sch Informat Sci & Technol, Dept Auto, Hefei 230027, Anhui, Peoples R China
[2] Nanyang Technol Univ, Sch Elect & Elect Engn, Singapore, Singapore
[3] RMIT Univ, Platform Technol Res Inst, Melbourne, Vic 3001, Australia
[4] Cent S Univ, Sch Informat Sci & Engn, Changsha 410083, Hunan, Peoples R China
来源：
NONLINEAR DYNAMICS | 2016年 / 85卷 / 04期
基金：
中国博士后科学基金;
关键词：
Semi-Markovian switching system; Finite-time bounded; Finite-time H-infinity stabilization; Feedback controller; SLIDING-MODE CONTROL; STOCHASTIC STABILITY; DELAY SYSTEMS; JUMP SYSTEMS; NETWORKS; SUBJECT;
D O I：
10.1007/s11071-016-2829-7
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
Finite-time control problem is a fascinating and hot issue in the field of control science. This paper presents a novel framework for finite-time stabilization of semi-Markovian switching system. By employing Lyapunov-Krasovskii functional and matrix inequality techniques, together with properties of semi-Markovian process, sufficient conditions are proposed to guarantee finite-time boundedness, finite-time boundedness and finite-time state feedback stabilization for semi-Markovian switching system. At the same time, a state feedback controller is provided to ensure that the proposed closed-loop system is finite-time stabilization. Finally, a numerical example and simulations are given to show the correctness and effectiveness of the proposed results.
引用
收藏
页码：2297 / 2308
页数：12
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